The super edge connectivity properties of a graph G can be measured by the restricted edge connectivity Π(G). We evaluate Π(G) and the number of i-cutsets C i (G), d Υ i Υ 2d Οͺ 3, explicitly for each d-regular edge-symmetric graph G. These results improve the previous one by R. Tindell on the same s
β¦ LIBER β¦
Super Connectivity and Super Edge Connectivity of the Mycielskian of a Graph
β Scribed by Litao Guo; Ruifang Liu; Xiaofeng Guo
- Publisher
- Springer Japan
- Year
- 2011
- Tongue
- English
- Weight
- 115 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0911-0119
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## Abstract The restrictedβedgeβconnectivity of a graph __G__, denoted by Ξ»β²(__G__), is defined as the minimum cardinality over all edgeβcuts __S__ of __G__, where __G__β__S__ contains no isolated vertices. The graph __G__ is called Ξ»β²βoptimal, if Ξ»β²(__G__)β=βΞΎ(__G__), where ΞΎ(__G__) is the minimum